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This paper studies optical solitons, in presence of perturbation terms, by the aid of He's variational principle. The intermodal dispersion, self-steepening and nonlinear dispersion are all treated as perturbation terms. Both Kerr law as well as power law nonlinearities are considered in this paper.

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In this paper, two solitary wave solutions are obtained for the Vakhnenko–Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological solitary wave solutions are obtained. The parameter regimes, for the existence of solitary waves, are identified during the derivation of the solution.